{"id":"W4406121580","doi":"10.1016/j.jalgebra.2024.12.014","title":"On the representation theory of Schur algebras in type B","year":2025,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Algebraic structures and combinatorial models","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute; University of Waterloo; University of Toronto","funders":"Ontario Ministry of Research and Innovation; Natural Sciences and Engineering Research Council of Canada; Innovation, Science and Economic Development Canada; Institut Périmètre de physique théorique; Mitacs; Government of Canada; University of Sydney","keywords":"Mathematics; Schur algebra; Schur's theorem; Type (biology); Pure mathematics; Representation theory; Schur's lemma; Schur product theorem; Schur complement; Algebra over a field; Schur multiplier; Representation (politics); Schur decomposition; Symmetric group; Eigenvalues and eigenvectors","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008269774,0.000092836,0.0002646989,0.0001806441,0.00003591244,0.00001758884,0.0002976244,0.00007167298,0.0001565917],"category_scores_gemma":[0.001802242,0.00005623739,0.0001153799,0.0004022267,0.0000513397,0.00008024858,0.0000429495,0.0002850709,0.000002287319],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004161931,"about_ca_system_score_gemma":0.00011532,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004540728,"about_ca_topic_score_gemma":0.000002061398,"domain_scores_codex":[0.9987925,0.0001965479,0.0005360704,0.00008262949,0.0002835435,0.0001087608],"domain_scores_gemma":[0.9976597,0.001472423,0.0003989436,0.0002568787,0.0001882471,0.00002379744],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0002651797,0.00006610723,0.0003633073,0.00001858382,0.00007277592,0.000004939183,0.0003519458,0.00002181701,0.0002382047,0.9946536,0.002802963,0.001140558],"study_design_scores_gemma":[0.0005023385,0.0001304731,0.002661873,0.0001652126,0.00003626708,0.000005970972,0.000378156,0.00001823803,0.004376098,0.9916143,0.00006421258,0.00004680256],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9939243,0.0002445136,0.0005153995,0.0009068885,0.0008689016,0.0001157698,3.661362e-7,0.000005104784,0.00341879],"genre_scores_gemma":[0.9991556,0.00003486938,0.0002577923,0.0002309553,0.00007755566,0.00000127317,1.559674e-7,0.000008659425,0.0002331805],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005231293,"threshold_uncertainty_score":0.2293294,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03602370679291813,"score_gpt":0.3224201519121396,"score_spread":0.2863964451192215,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}